M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

T. Kasamatsu, H. Kubomura, and H Kan, “Numerical Simulation of Conversion Efficiency and Beam Quality Factor in Second Harmonic Generation with Diffraction and Pump Depletion,” Jpn. J. Appl. Phys., 44, 8495–8497 (2005).

[Crossref]

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

G. Breitenbach, S. Schiller, and J. Mlynek, “81% Conversion efficiency in frequency-stable continuous-wave parametric oscillation,” J. Opt. Soc. Am. B 12, 2095–2101 (1995).

[Crossref]

S. Sheng and A. E. Siegman, “Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction,” Phys. Rev. A, 21, 599–606 (1980).

[Crossref]

R.W. Boyd, “Intuitive Explanation of the Phase Anomaly of Focused Light Beams,” J. Opt. Soc. Am 70, 877–880 (1980).

[Crossref]

G.D. Boyd and D.A. Kleinman, “Parametric Interaction of Focused Gaussian Light Beams,” J. Appl. Phys., 39, 3597–3639 (1968).

[Crossref]

V. KhokhlovRadiotek. Electron 6, 1116–1130 (1961).

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

L.G. Gouy, “Sur la propagation anormale des ondes,” Compt. Rendue Acad. Sci. 111, 33–35 (1890).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

G.D. Boyd and D.A. Kleinman, “Parametric Interaction of Focused Gaussian Light Beams,” J. Appl. Phys., 39, 3597–3639 (1968).

[Crossref]

R.W. Boyd, “Intuitive Explanation of the Phase Anomaly of Focused Light Beams,” J. Opt. Soc. Am 70, 877–880 (1980).

[Crossref]

R.W. Boyd, Nonlinear Optics, (Academic Press, 1992).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

G. Gurzadian, D.N. Nikogosian, and V.G. Dmitriev, Handbook of Nonlinear Optical Crystals, (Springer, 2006).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

L.G. Gouy, “Sur la propagation anormale des ondes,” Compt. Rendue Acad. Sci. 111, 33–35 (1890).

G. Gurzadian, D.N. Nikogosian, and V.G. Dmitriev, Handbook of Nonlinear Optical Crystals, (Springer, 2006).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

T. Kasamatsu, H. Kubomura, and H Kan, “Numerical Simulation of Conversion Efficiency and Beam Quality Factor in Second Harmonic Generation with Diffraction and Pump Depletion,” Jpn. J. Appl. Phys., 44, 8495–8497 (2005).

[Crossref]

T. Kasamatsu, H. Kubomura, and H Kan, “Numerical Simulation of Conversion Efficiency and Beam Quality Factor in Second Harmonic Generation with Diffraction and Pump Depletion,” Jpn. J. Appl. Phys., 44, 8495–8497 (2005).

[Crossref]

V. KhokhlovRadiotek. Electron 6, 1116–1130 (1961).

G.D. Boyd and D.A. Kleinman, “Parametric Interaction of Focused Gaussian Light Beams,” J. Appl. Phys., 39, 3597–3639 (1968).

[Crossref]

T. Kasamatsu, H. Kubomura, and H Kan, “Numerical Simulation of Conversion Efficiency and Beam Quality Factor in Second Harmonic Generation with Diffraction and Pump Depletion,” Jpn. J. Appl. Phys., 44, 8495–8497 (2005).

[Crossref]

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

N. Lastzkaet. al., arXiv.org:physics/0611257, (2006).

G. Breitenbach, S. Schiller, and J. Mlynek, “81% Conversion efficiency in frequency-stable continuous-wave parametric oscillation,” J. Opt. Soc. Am. B 12, 2095–2101 (1995).

[Crossref]

R. Paschotta, P. Kurz, R. Henking, S. Schiller, and J. Mlynek, “82% efficient continuous-wave frequency doubling of 1.06 mm with a monolithic MgO:LiNbO3 resonator,” Opt. Lett. 19, 1325–1327 (1994).

[Crossref]
[PubMed]

G. Gurzadian, D.N. Nikogosian, and V.G. Dmitriev, Handbook of Nonlinear Optical Crystals, (Springer, 2006).

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

G. Breitenbach, S. Schiller, and J. Mlynek, “81% Conversion efficiency in frequency-stable continuous-wave parametric oscillation,” J. Opt. Soc. Am. B 12, 2095–2101 (1995).

[Crossref]

R. Paschotta, P. Kurz, R. Henking, S. Schiller, and J. Mlynek, “82% efficient continuous-wave frequency doubling of 1.06 mm with a monolithic MgO:LiNbO3 resonator,” Opt. Lett. 19, 1325–1327 (1994).

[Crossref]
[PubMed]

S. Sheng and A. E. Siegman, “Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction,” Phys. Rev. A, 21, 599–606 (1980).

[Crossref]

S. Sheng and A. E. Siegman, “Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction,” Phys. Rev. A, 21, 599–606 (1980).

[Crossref]

A.E. Siegman, Lasers, (University Science, Mill Valley California, 1986).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

L.G. Gouy, “Sur la propagation anormale des ondes,” Compt. Rendue Acad. Sci. 111, 33–35 (1890).

G.D. Boyd and D.A. Kleinman, “Parametric Interaction of Focused Gaussian Light Beams,” J. Appl. Phys., 39, 3597–3639 (1968).

[Crossref]

M. Lassen, V. Delaubert, C.C. Harb, P.K. Lam, N. Treps, and H-A. Bachor, “Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier,” J. of the Euro Opt. Soc.-RP. 1, 06003–1–06003–7 (2006).

R.W. Boyd, “Intuitive Explanation of the Phase Anomaly of Focused Light Beams,” J. Opt. Soc. Am 70, 877–880 (1980).

[Crossref]

T. Kasamatsu, H. Kubomura, and H Kan, “Numerical Simulation of Conversion Efficiency and Beam Quality Factor in Second Harmonic Generation with Diffraction and Pump Depletion,” Jpn. J. Appl. Phys., 44, 8495–8497 (2005).

[Crossref]

J.R. Kurz, J. Huang, X. Xie, T. Saida, and M.M. Fejer, “Mode multiplexing in optical f requency mixers,” Opt. Lett. 29, 551–553 (2004).

[Crossref]
[PubMed]

A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and Steven Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett. 11, 288–291 (1986).

[Crossref]
[PubMed]

R. Paschotta, P. Kurz, R. Henking, S. Schiller, and J. Mlynek, “82% efficient continuous-wave frequency doubling of 1.06 mm with a monolithic MgO:LiNbO3 resonator,” Opt. Lett. 19, 1325–1327 (1994).

[Crossref]
[PubMed]

S. Sheng and A. E. Siegman, “Nonlinear-optical calculations using fast-transform methods: Second-harmonic generation with depletion and diffraction,” Phys. Rev. A, 21, 599–606 (1980).

[Crossref]

M. Lassen, V. Delaubert, J. Janousek, K. Wagner, H-A. Bachor, P.K. Lam, N. Treps, P. Buchhave, C. Fabre, and C.C. Harb, “Tools for spatial multi-mode quantum information: modulation, detection and quantum correlations,” Phys. Rev. Lett. 98, 083602–1–083602–4 (2007).

[Crossref]

H. He, M.E.J. Friese, N.R. Heckenberg, and H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with phase singularity,” Phys. Rev. Lett. 75, 826829–826833 (1995).

[Crossref]

P.A. Franken, A.E. Hill, C.W. Peters, and G. Weinreich, “Generation of Optical Harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[Crossref]

R.W. Boyd, Nonlinear Optics, (Academic Press, 1992).

G. Gurzadian, D.N. Nikogosian, and V.G. Dmitriev, Handbook of Nonlinear Optical Crystals, (Springer, 2006).

A.E. Siegman, Lasers, (University Science, Mill Valley California, 1986).

V. Delaubert, M. Lassen, D.R.N. Pulford, H-A. Bachor, and C.C. Harb, Generalized Boyd-Kleinman Calculation of High Order Transverse Modes Second Harmonic Generation, To be submitted (2007).

N. Lastzkaet. al., arXiv.org:physics/0611257, (2006).

V. KhokhlovRadiotek. Electron 6, 1116–1130 (1961).